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max2010maxim [7]
3 years ago
10

Two lines and a ray intersect at a

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer:

m<DAE = 80°

Step-by-step explanation:

Given that m<CAB = 110°,

m<DAE = (x + 4)°,

m<EAF = 30°,

m<EAF + m<DAE = m<DAF (angle addition postulate)

30° + (x + 4)° = m<DAF (substitution)

(34 + x)° = m<DAF

<DAF and <CAB are vertically opposite angles. Vertically opposite angles are said to be congruent. Therefore:

m<DAF = m<CAB

(34 + x)° = 110° (substitution)

The equation above can be used to solve for x as follows:

34 + x = 110

x = 110 - 34 (Subtracting 34 from both sides)

x = 76

m<DAE = (x + 4)°

Plug in 76, to replace x

m<DAE = 76 + 4

m<DAE = 80°

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tamaranim1 [39]

Answer:

Change 10 (Last number at the end in the Flour (Cups) row) to 20. You need 20 cups of flour.

Step-by-step explanation:

7 0
2 years ago
Please help me with 8 im so very stuck i know how to do those but nothing will factor into eachother
Kisachek [45]

Answer:

lol number 8 is x= i, -i , \frac{3}{4}, -4 so u are correct.

and number 7 is x=-\frac{1}{2} or \sqrt[5-i]\sqr\frac{23}{8}

Step-by-step explanation:

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2 years ago
Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num
Brilliant_brown [7]

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be  m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is  ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

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since both should be equal ρ=ρa , then

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replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg  = 1.544*10⁹ Linebackers

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3 years ago
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patriot [66]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
Solve for j.<br>-13j - 20 = -8j + 20​
aleksley [76]

Answer:

j = -8

Step-by-step explanation:

-13j - 20 = -8j + 20​

Add 13 j to each side

-13j+13j - 20 = -8j+13j + 20

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subtract 20 from each side

-20-20 = 5j +20-20

-40 = 5j

Divide by 5

-40/5 = =5j/5

-8 =j

8 0
2 years ago
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